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Finding the Fourth Proportional to 129,077.52, 178,049.70 and 81,247.84

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Solution

The fourth proportional to 129,077.52, 178,049.70 and 81,247.84 is: 112,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,077.52 : 178,049.70 = 81,247.84 : x
  2. Step 2: Convert to fraction form
    129,077.52/178,049.70 = 81,247.84/x
  3. Step 3: Cross multiply
    129,077.52x = 178,049.70 × 81,247.84
  4. Step 4: Simplify right side
    129,077.52x = 14,466,153,537.65
  5. Step 5: Solve for x
    x = 14,466,153,537.65/129,077.52
  6. Step 6: Final answer
    x = 112,073.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.